Classification of the second order linear differential operators and differential equations

DOI10.1016/J.GEOMPHYS.2018.03.025zbMath1394.35017OpenAlexW2800299432WikidataQ115352910 ScholiaQ115352910MaRDI QIDQ1635469

Valerij A. Yumaguzhin, Valentin V. Lychagin

Publication date: 6 June 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2018.03.025

zbMATH Keywords

differential invariantjet bundleequivalence problemlocal classification

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Paths and cycles (05C38) Eigenvalues, singular values, and eigenvectors (15A18) Jets in global analysis (58A20) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (9)

Natural differential invariants and equivalence of nonlinear second order differential operators ⋮ On natural invariants and equivalence of differential operators ⋮ On invariants and equivalence of differential operators under Lie pseudogroups actions ⋮ Riemannian exponential and quantization ⋮ On geometrical structures, associated with linear differential operators of the 1st order ⋮ Invariants of forth order linear differential operators ⋮ On structure of linear differential operators, acting on line bundles ⋮ On equivalence of the second order linear differential operators, acting in vector bundles ⋮ On equivalence of third order linear differential operators on two-dimensional manifolds

Cites Work

• Global Lie-Tresse theorem
• Invariants in relativity theory
• Quantum mechanics on manifolds
• Equivalence of Differential Operators
• Geometry of differential equations
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